(x-2)/3-2(3x-4)/4=8

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Solution for (x-2)/3-2(3x-4)/4=8 equation:


(x-2)/3-2(3x-4)/4=8

We simplify the equation to the form, which is simple to understand
(x-2)/3-2(3x-4)/4=8

Reorder the terms in parentheses
( + 0.333333333333x-0.666666666667)-2*(3x-4)/4=8

Remove unnecessary parentheses
+ 0.333333333333x-0.666666666667-2*(3x-4)/4=8

Reorder the terms in parentheses
+ 0.333333333333x-0.666666666667+(-6x+8)/4=8

Reorder the terms in parentheses
+ 0.333333333333x-0.666666666667+(-1.5x+2)=8

Remove unnecessary parentheses
+ 0.333333333333x-0.666666666667-1.5x+2=+8

We move all terms containing x to the left and all other terms to the right.
+ 0.333333333333x-1.5x=+8 + 0.666666666667-2

We simplify left and right side of the equation.
-1.16666666667x=+6.66666666667

We divide both sides of the equation by -1.16666666667 to get x.
x=-5.71428571429

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